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A Novel Coupled Model for Monthly Rainfall Prediction Based on ESMD-EWT-SVD-LSTM

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Abstract

Precise predicting of rainfall is paramount for effective water resource management, ecological conservation, and the prevention of droughts and floods. Influenced by numerous variables, the process of rainfall is complex and the rainfall series exhibit high degrees of nonlinearity, making it challenging for traditional statistical prediction models to accurately capture the characteristics of rainfall series. Therefore, this paper proposes a new coupled model for predicting monthly rainfall based on Extreme-Point Symmetric Mode Decomposition (ESMD), Empirical Wavelet Transform (EWT), Singular Value Decomposition (SVD) and Long Short-Term Memory Neural Network (LSTM). By training and evaluating the ESMD-EWT-SVD-LSTM model on Kaifeng City’s monthly rainfall data from 2009 to 2020 and comparing its predictions with those of the ESMD-SVD-LSTM, SVD-LSTM, LSTM models, the analysis reveals that: the quadratic decomposition of ESMD-EWT and SVD denoising can further reduce the complexity of rainfall data, obtain more predictable feature IMFs, and enhance the precision in LSTM predicting; in comparison with alternative models, the ESMD-EWT-SVD-LSTM coupled model shows the highest accuracy in predicting results, with MAE of 4.96, RMSE of 6.13, and SI of 0.12, indicating that the ESMD-EWT-SVD-LSTM model has strong nonlinear process learning ability and accuracy in regional monthly rainfall prediction. This study can offer dependable scientific grounding and technical assistance for regional rainfall predicting, water resources planning, and disaster mitigation.

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Data Availability

The data that support the findings of this study are available on request.

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Acknowledgements

We are particularly grateful to the anonymous reviewers and editors for their comments.

Funding

This work was supported by Program for Innovative Research Team (in Science and Technology) in University of Henan Province (24IRTSTHN012) and National Natural Science Foundation of China (51779093).

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Authors and Affiliations

Authors

Contributions

Conceptualization: Z. X. Methodology and analysis: L. Z; Z. X. Writing—original draft preparation: L. Z; Z. X. Writing—review and editing: L. Z; Z. X. Supervision: Z. X.

Corresponding author

Correspondence to Xianqi Zhang.

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Highlights

(1) ESMD can decompose rainfall series into multiple real feature IMFs.

(2) Combining ESMD and EWT methods for data preprocessing can further simplify and extract information from rainfall series.

(3) The IMFs after ESMD-EWT decomposition and SVD processing can effectively improve the prediction accuracy of LSTM.

(4) The coupled model of ESMD-EWT-SVD-LSTM has a better prediction performance and strong applicability for nonlinear rainfall series.

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Li, Z., Zhang, X. A Novel Coupled Model for Monthly Rainfall Prediction Based on ESMD-EWT-SVD-LSTM. Water Resour Manage 38, 3297–3312 (2024). https://doi.org/10.1007/s11269-024-03815-x

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  • DOI: https://doi.org/10.1007/s11269-024-03815-x

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